How to solve this Olympiad question involving indices.

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[@titustarhemba4678]

Am always shying away from Olimpia maths but, based on your clear explanation I made the maths my friend, thanks a lot.

[@gpadlearnmaths]

@@titustarhemba4678 Oh wow, this gladdened my heart so much. Thanks for your feedback.

[@adishigodspower4554]

Thanks for sharing this 👏👏

[@gpadlearnmaths]

You're welcome

[@delightmusic44]

Thanks for this 😊

[@gpadlearnmaths]

You're welcome

[@arunabhachowdhury6587]

I initially thought taking log both sides can help

[@macquaria6820]

ok what if its equal to 66 though

[@gpadlearnmaths]

That would require another approach.

[@jjeanniton]

x=4 is a solution

[@gpadlearnmaths]

@@jjeanniton Well done.

[@ngocdo5687]

3X - 2X = 65
*. 65 = 81 - 16
= 3x3x3x3 - 2x2x2x2
** X = 4 ./.